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Finding the Fourth Proportional to 265.86, 366.80 and 167.67

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Solution

The fourth proportional to 265.86, 366.80 and 167.67 is: 231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 366.80 = 167.67 : x
  2. Step 2: Convert to fraction form
    265.86/366.80 = 167.67/x
  3. Step 3: Cross multiply
    265.86x = 366.80 × 167.67
  4. Step 4: Simplify right side
    265.86x = 61,500.52
  5. Step 5: Solve for x
    x = 61,500.52/265.86
  6. Step 6: Final answer
    x = 231.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.